Converting 0.5313 to a Fraction
Step-by-step explanation of how to convert 0.5313 to a fraction

Result

0.5313 =
5313
10000

Step 1: Identify the number of decimal places

The decimal 0.5313 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

0.5313 × 10000 = 5313

Step 3: Write as a fraction

0.5313 =

5313
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 5313 and 10000.

GCD(5313, 10000) = 1

Divide both the numerator and denominator by the GCD:

5313
10000

=

5313 ÷ 1
10000 ÷ 1

=

5313
10000
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